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Finding the Fourth Proportional to 7,902.50, 10,905.57 and 4,317.62

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Solution

The fourth proportional to 7,902.50, 10,905.57 and 4,317.62 is: 5,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.50 : 10,905.57 = 4,317.62 : x
  2. Step 2: Convert to fraction form
    7,902.50/10,905.57 = 4,317.62/x
  3. Step 3: Cross multiply
    7,902.50x = 10,905.57 × 4,317.62
  4. Step 4: Simplify right side
    7,902.50x = 47,086,052.62
  5. Step 5: Solve for x
    x = 47,086,052.62/7,902.50
  6. Step 6: Final answer
    x = 5,958.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.